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Finding the Fourth Proportional to 166.01, 247.79 and 155.75

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Solution

The fourth proportional to 166.01, 247.79 and 155.75 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.01 : 247.79 = 155.75 : x
  2. Step 2: Convert to fraction form
    166.01/247.79 = 155.75/x
  3. Step 3: Cross multiply
    166.01x = 247.79 × 155.75
  4. Step 4: Simplify right side
    166.01x = 38,594.30
  5. Step 5: Solve for x
    x = 38,594.30/166.01
  6. Step 6: Final answer
    x = 232.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.